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Context

I would like to solve the following equation using C# algorithms, and do not want to reinvent the wheel. I examined Math.NET, and quickly turned out it only supports solving liner matrix equations with numeric methods. Searching toward I concluded that using MS Solve Foundation I can write C# code to solve my equation with some numerical method.

Question

Given the

a^x + b^x + c^x = 1

equation, where a, b, c are given constants, for example 0.4, 0.35, 0.5. Unfortunately all MS Solver Foundation examples are optimization and problem solving, and not simple non-linear equation solving, so I do not even know what method to use, what method is suitable at all, and what are the options.

Could anyone point what are my options?

g.pickardou
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1 Answers1

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My bad.

I figured out that my problem is not "solving" or "solve" instead it is "root-finding".

Looking for those words it turned out that Math.NET has 8 different method to do that. Decided to leave the question here (along with this answer) instead deleting, but I am open to delete in case of close votes.

g.pickardou
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